We present the numerical details for performing static Hartree-Fock and time-dependent Hartree-Fock calculations using a spline collocation method. Calculations are performed on a three-dimensional Cartesian lattice without any symmetry assumptions and quantal degeneracies. The three-dimensional Hartree-Fock calculations are compared with the solutions of the corresponding radial equations. The results demonstrate an unprecedented accuracy for relatively coarse meshes. We also present a zero impact parameter, time-dependent Hartree-Fock calculation for the O-16+O-16 system.